Second- and higher-order waveguide grating filters 1: Theory

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Abstract
A study of second- and higher-order waveguide grating filters is considerably complicated by the fact that the coupling between the guided waves and the radiated waves has to be taken into account. In this paper, we review the theoretical calculations of the spectral response of these grating filters that have been reported by several authors and present a new approach based on the use of the Green’s functions of the waveguide structure. Excellent agreement is found between the results of our method of calculation and the results of other, more rigorous but much more complicated, methods. The Green’s function method is thus a reasonably simple but fairly accurate method for calculating the spectral response of grating filters.

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